to solve this first we need to find out the value of the inside function and then of the outside:
f(g(-7))
first, we need to know g(-7), and from the bottom table we can see is 21
now we replace it:
f(g(-7)) = f(21) and on the top table we see it's -3
so the answer of a is -3
and the same for the others:
b. f(g(-5))
g(-5)= 11
f(g(-5))=f(11)= 6
so b. 6
c. g(f(8)) here we need to see the top table first
f(8)=9
g(f(8))=g(9)= 8
so c. 8
d. g(f(14))
f(14)=3
g(f(14))=g(3)= 15
so d.15